Search a number
-
+
140460516 = 223274991117
BaseRepresentation
bin10000101111101…
…00000111100100
3100210022010121100
420113310013210
5241424214031
621534320100
73323615610
oct1027640744
9323263540
10140460516
1172317079
123b059030
132313bb41
1414924340
15c4e7de6
hex85f41e4

140460516 has 72 divisors (see below), whose sum is σ = 406952000. Its totient is φ = 40015296.

The previous prime is 140460503. The next prime is 140460569. The reversal of 140460516 is 615064041.

140460516 is a `hidden beast` number, since 1 + 40 + 4 + 605 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 140460516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125190 + ... + 126306.

Almost surely, 2140460516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140460516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203476000).

140460516 is an abundant number, since it is smaller than the sum of its proper divisors (266491484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140460516 is a wasteful number, since it uses less digits than its factorization.

140460516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 140460516 is about 11851.6039420831. The cubic root of 140460516 is about 519.8181267314.

The spelling of 140460516 in words is "one hundred forty million, four hundred sixty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 499 998 1117 1497 1996 2234 2994 3351 3493 4468 4491 5988 6702 6986 7819 8982 10053 10479 13404 13972 15638 17964 20106 20958 23457 31276 31437 40212 41916 46914 62874 70371 93828 125748 140742 281484 557383 1114766 1672149 2229532 3344298 3901681 5016447 6688596 7803362 10032894 11705043 15606724 20065788 23410086 35115129 46820172 70230258 140460516